2 years ago

Please I need help Asap!

Mathematics

1 answer:

Reil [10]2 years ago

6 0

Answer:

-11/12

Step-by-step explanation:

$\frac{5}{8}+\frac{3}{4}=\frac{5}{8}+\frac{6}{8}=\frac{11}{8} \\ \\ -\frac{2}{3}-\frac{5}{6}=-\frac{4}{6}-\frac{5}{6}=-\frac{9}{6}=-\frac{3}{2} \\ \\ \frac{11/8}{-3/2}=\frac{22/8}{-3}=-\frac{22}{24}=-\frac{11}{12}$

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Harman [31]

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5 0

3 years ago

If F(x) = 2 - xand w(x) = x - 2, what is the range of (w•p(x)?

hoa [83]

Answer:

Th Range is [0, -∞)

Step-by-step explanation:

f(x) = 2 - x

w(x) = x - 2

We want to find the range of (f * w)(x).

First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

$(f*w)(x)=(2-x)(x-2)\\=2x-4-x^2+2x\\=-x^2+4x-4$

This is a quadratic function (U shaped), or a parabola. The graph is attached.

The range is the set of y-values for which the function is defined.

We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,

0 < y < ∞

In interval notation, that would be:

[0, -∞)